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Finding the Fourth Proportional to 13,207.66, 18,226.82 and 7,238.97

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Solution

The fourth proportional to 13,207.66, 18,226.82 and 7,238.97 is: 9,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.66 : 18,226.82 = 7,238.97 : x
  2. Step 2: Convert to fraction form
    13,207.66/18,226.82 = 7,238.97/x
  3. Step 3: Cross multiply
    13,207.66x = 18,226.82 × 7,238.97
  4. Step 4: Simplify right side
    13,207.66x = 131,943,421.27
  5. Step 5: Solve for x
    x = 131,943,421.27/13,207.66
  6. Step 6: Final answer
    x = 9,989.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.